{ "id": "math/0008197", "version": "v1", "published": "2000-08-25T12:34:22.000Z", "updated": "2000-08-25T12:34:22.000Z", "title": "Bounded Point Evaluations and Local Spectral Theory", "authors": [ "Abdellatif Bourhim" ], "comment": "44pp, diploma thesis", "categories": [ "math.FA", "math.SP" ], "abstract": "We study in this paper the concept of bounded point evaluations for cyclic operators. We give a negative answer to a question of L.R. Williams {\\it Dynamic Systems and Apllications} 3(1994) 103-112. Furthermore, we generalize some results of Williams and give a simple proof of theorem 2.5 of L.R. Williams (The Local Spectra of Pure Quasinormal Operators J. Math. anal. Appl. 187(1994) 842-850) that non normal hyponormal weighted shifts have fat local spectra.", "revisions": [ { "version": "v1", "updated": "2000-08-25T12:34:22.000Z" } ], "analyses": { "subjects": [ "47A10", "47B20" ], "keywords": [ "bounded point evaluations", "local spectral theory", "non normal hyponormal weighted shifts", "pure quasinormal operators", "fat local spectra" ], "tags": [ "dissertation" ], "note": { "typesetting": "TeX", "pages": 44, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2000math......8197B" } } }